We've just started doing continuity, limits of functions etc, and I'm not quite sure how to progress.

If we suppose g and h are real-valued functions, defined on some interval (m,n) containing , and and .

I want to show that if then

Also, do you know of any good resources to get further help on this topic? I know the members here are extremely knowledgeable, but do you have any online text resource etc that may help? Maybe with examples of a similar kind?